Propagation of Surface Waves at the Boundary Between a Piezoelectric Crystal and a Fluid Medium,

Abstract

The propagation of surface waves at the boundary between a piezoelectric crystal and an ideal fluid is investigated. The effect of the fluid on the character of the waves is studied and it is found that propagating waves take the form of leaky waves transfering energy to the fluid medium. The numerical solution for the complex leaky wave velocity is obtained by two methods. The one is a straightforward solution of the complex characteristic equation for the velocity while the other is a perturbation scheme which treats the leaky wave as a first order perturbation on the nonleaky wave associated with surface wave propagation when the mechanical properties of the fluid are neglected. Comparison of the two methods reveals that the perturbation procedure is very accurate over a broad range of fluid parameters. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 20, 1969
Accession Number
AD0859390

Entities

People

  • James J. Campbell
  • Sonja L. Veilleux
  • William R. Jones

Organizations

  • Hughes Aircraft Company

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Crystals
  • Equations
  • Lepidoptera
  • Mechanical Properties
  • Personality
  • Perturbations
  • Piezoelectric Crystals
  • Surface Waves
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)